File:NDL1087498 代数学教科書.pdf

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代数学教科書   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author

藤沢, 利喜太郎, 1861-1933

飯島, 正之助, 1865-1912
image of artwork listed in title parameter on this page
Title
代数学教科書
Publisher
三省堂
Language jpn
Publication date

1890

明治23
Place of publication JP
Source

doi:10.11501/1087498

institution QS:P195,Q477675
Creator
InfoField
藤沢利喜太郎, 飯島正之助 共訳
Publication Place
InfoField
[東京]
Subject: NDC
InfoField
412
Extent
InfoField
p379~610, 12p ; 20cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
42021533
Date Digitized: W3CDTF
InfoField
2010-03-31
Audience
InfoField
一般
Title Transcription
InfoField
ダイスウガク キョウカショ
Publisher Transcription
InfoField
サンセイドウ
Source Identifier: NDLBibID
InfoField
000000546324
Call Number
InfoField
特276-420
Creator Transcription: NDLNA
InfoField
フジサワ, リキタロウ イイジマ, マサノスケ
Creator: NDLNAId
InfoField
00016123 00376098
Contents
InfoField
標題

目次

第十九編 錯列及配合

相異ナレル物ノ錯列/379

n筒ノ物ノ悉クハ相異ナレルモノニ非ル塲合ニ一時ニ其ノn箇ヲ殘ラズ取リタル錯列/381

配合/383

n筒ノ相異ナレル物ノ一時ニr箇ヅツ取リタル配合ノ數ト又ソノ一時ニ(n-r)箇ヅツ取リタル配合ノ敷トハ相等シ/385

n與ヘラレタル値ヲ有スル物ノnCrノ最大値/389

xトyトハ何レモ正整數ナル物ハx+yCn=xCn+xCnー1・yC1+・+yCn/389

〓ンデルモンデ氏ノ定理(第四百廿二頁ヲモ看ヨ)/390

同次積(第四百八十五頁モ看ヨ)/392

第二十三例題集/400

第二十編 二項定理

指數ノ正整數ナル塲合ニ於ケル二項定理ノ證明/450

二項展開ニ於ケル最大項/411

第二十四例題集/413

二項展開ニ於ケル諸係數ノ性質/415

(x+a),(x+b),x+c),等ノ二項因數n箇ノ連乘積/421

〓ンデルモンデ氏ノ定理第三百九十頁糢モミ看ヨ)/422

多項定理/424

第二十五例題集/429

第廿一編 級數ノ收歛及發散

級數諸項ハ悉ク同ジ符號ヲ有スルモノ、収歛及發散/437~446

級數ノ項ノ一ツ置きニ正トナリ負トナルモノ、収歛及發散/446

二項級數ト指數級數ト對數級數トニ其ノ應用/447

収歛級數ノ相乘積/450

Σarxr=Σbrxrモシ之ヲ収歛ナラシムルxノ各値ニ對ヲ眞ナラバar=br也/452

第二十六例題集/454

第二十二編 二項定理、任意ノ指數、

二項定理ノ證明/458

オイレル氏ノ證明/461

最大ナル項/466

第二十七例題集/469

a0+a1x+a2x2+・ニ於ケル首項以下(r+1)項ノ和/470

二項級數/473

多項式ノ展開/479

重複アル配合/483

同次積(第三百九十二頁ヲモ看ヨ)/485

第卄八例題集/490

第廿三編 部分分數、不定指數

分數ヲ部分分數ニ分解スル/499

靈數ナル因數ノ塲合/505

相等しき因數ノ塲合/506

不當係數/510

第二十九例題集/513

第廿四編 指數定理、對數及對數

指數原理/518

第三十例題集/527

對數ノ性質/529

對數級數/530

コーシー氏ノ定理/533

對數ヲ計算スル爲ノ級數/534

第卅一例題集/536

常用對數/541

重利年金/545

第卅二例題集/548

第廿五編 級數ノ總加法

級數ノ和ハunヲ(vn-vnー1)ノ形チニ表ハス〓ニテ求メ得ベシ/551

{a+n-1.b)(a+nb)…(a+n+r-2.b)}ヲ普通項トスル所ノ級數ノ和/554

{a+n-1.b)(a+nb)(a+n+1.b)…(a+n+r-1.b)}ヲ普通項トスル所ノ級數ノ和/557

一、二、三、・nトイフ起首ノ整數n筒ノ平方ノ和及ビ立方和/562

1r2r+・+nrノ和/563

彈丸雄積ノ問題/565

擬數/567

多角數/568

第三十三例題集/569

a(a+x)…(a+n-1.x)/b(b+x)…(b+n-1.x)ヲ普通項トスル所ノ級數ノ和 ap=Arpr+Ar-1pr-1+A0ナル物ノΣapxp…/576

級數ノ諸項ノ成リ立チノ規律與ヘラレヌモノ/579

差法/580

循環級數/585

無限乘積ノ収歛/592

1±m+m(m-1)/1.2±m+m(m-1)(m-2)/1.2.3+……ノ収歛級數タルベキ要件/595

〓un卜〓aruanトハ相共ニ収歛ナルカ又相共ニ發散ナリ/597

〓unハn(1-un+1/un)ノ極限ノ1ヨリモ大ナル物ニハ収歛級數ニメソノ一ヨリモ小ナル糢の物ニハ發散級數ナリ/601

第三十四例題集/603

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